Energodynamic Substantiaton of the Principle Least Action

It is shown that the absence of a justification for the principle of least action is due to attempts to do this on the basis of the mechanics of conservative systems. It is proposed to substantiate it from the most general positions of energodynamics as the nonequilibrium thermodynamics of multivariant energy-transforming systems, which for the first time introduced specific parameters of the spatial inhomogeneity of such systems as a measure of their deviation from equilibrium. With this approach, the principle of least action becomes a consequence of the aspiration of such systems to equilibrium and the ensuing condition of a minimum moment of momentum distribution in an inhomogeneous velocity field, i.e. work required to maintain the moving system in a stationary nonequilibrium state throughout the process. This determines the validity of this principle for non-conservative systems and for all forms of energy, which greatly expands the scope of its applicability and makes it a universal tool for analyzing real processes.